## Differential and Integral Calculus |

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### Contents

FUNCTIONS AND THEIK GRAPHS | 1 |

THE LIMIT OF A FUNCTION | 15 |

THE DERIVATIVE | 31 |

Copyright | |

29 other sections not shown

### Common terms and phrases

absolutely convergent angle approximately arcsin arctan area bounded axis cardioid centroid circle Compute the volume constant convergent convergent series coordinates corresponding cos2 cosines curve whose equation cylinder defined definite integral definition denote derivative differential direction numbers distance divergent double integral dy dx dy/dx ellipse equal error Evaluate Example expressed Find the value formula fraction function given graph hence HINT increasing inflection point integral interval limit Maclaurin series maximum minimum point natural logarithms negative obtained parabola paraboloid parallel parametric equations plane positive Prob PROBLEMS quantity radian radius radius of gyration rate of change rectangle rectangular respect result revolved right circular cone sec2 Show shown in Fig side sin2 sin3 sinh Sketch the curve solid Solution Fig solving sphere surface tan2 tangent line Theorem tion velocity weight x-axis z-axis